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Finding the Fourth Proportional to 47,969.68, 71,964.24 and 18,388.48

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Solution

The fourth proportional to 47,969.68, 71,964.24 and 18,388.48 is: 27,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,969.68 : 71,964.24 = 18,388.48 : x
  2. Step 2: Convert to fraction form
    47,969.68/71,964.24 = 18,388.48/x
  3. Step 3: Cross multiply
    47,969.68x = 71,964.24 × 18,388.48
  4. Step 4: Simplify right side
    47,969.68x = 1,323,312,987.96
  5. Step 5: Solve for x
    x = 1,323,312,987.96/47,969.68
  6. Step 6: Final answer
    x = 27,586.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.